• DocumentCode
    790295
  • Title

    The damping ratio of an optimal control system

  • Author

    Jacobs, O.L.R.

  • Author_Institution
    University of Edinburgh, Edinburg, Scotland
  • Volume
    10
  • Issue
    4
  • fYear
    1965
  • fDate
    10/1/1965 12:00:00 AM
  • Firstpage
    473
  • Lastpage
    476
  • Abstract
    Optimal control theory is used to design a second-order linear control system with step response that is, in a certain sense, the best possible. The damping ratio of this optimal system is compared with the value (1/\\sqrt {2}) of damping ratio that is conventionally assumed to give good performance. For a special class of second-order controlled objects, the optimal system has damping ratio 1/\\sqrt {2} .
  • Keywords
    Linear systems; Optimal control; Control systems; Control theory; Controllability; Damping; Differential equations; Eigenvalues and eigenfunctions; Force control; Optimal control; Transient response; Writing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1965.1098213
  • Filename
    1098213
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=790295